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Finding the Fourth Proportional to 592,784, 818,041.92 and 324,512

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Solution

The fourth proportional to 592,784, 818,041.92 and 324,512 is: 447,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,784 : 818,041.92 = 324,512 : x
  2. Step 2: Convert to fraction form
    592,784/818,041.92 = 324,512/x
  3. Step 3: Cross multiply
    592,784x = 818,041.92 × 324,512
  4. Step 4: Simplify right side
    592,784x = 265,464,419,543.04
  5. Step 5: Solve for x
    x = 265,464,419,543.04/592,784
  6. Step 6: Final answer
    x = 447,826.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.